Answer:
The different number of ways to select a female president and a treasurer is 8.
Step-by-step explanation:
The complete question is:
Find the number of ways that club N= {Alan, Bill, Cathy, David, Evelyn} can elect both a president and treasurer if the president must be a female.
Solution:
The male members are: Alan (A), Bill (B) and David (D)
The female members are: Cathy (C) and Evelyn (E)
The list of different ways to select a female president and a treasurer is:
{CA, CB, CD, CE, EA, EB, ED and EC }
The number of ways to select a female president: [tex]{2\choose1}=2[/tex]
The remaining number of members of the club is, 4.
The number of ways to select a treasurer is, [tex]{4\choose1}=4[/tex]
The total number of ways to select a female president and a treasurer is,
2 × 4 = 8 ways.
